Chaos Solitons & Fractals最新文献_第3页

Complex dynamics of discrete-time replicators in repeated Snowdrift Games with four strategies 四策略重复雪堆博弈中离散时间复制因子的复杂动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-28 DOI: 10.1016/j.chaos.2025.116712

Yafei Zhang , Haiyan Tian , Gang Zhang

引用次数: 0

Kolmogorov–Arnold networks with gumbel softmax for recovering network structure and forecasting complex systems 用于网络结构恢复和复杂系统预测的gumbel softmax Kolmogorov-Arnold网络

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-28 DOI: 10.1016/j.chaos.2025.116720

Zhuoran Yang , Juan Zhang , Junping Yin , Wei Yang

{"title":"Kolmogorov–Arnold networks with gumbel softmax for recovering network structure and forecasting complex systems","authors":"Zhuoran Yang , Juan Zhang , Junping Yin , Wei Yang","doi":"10.1016/j.chaos.2025.116720","DOIUrl":"10.1016/j.chaos.2025.116720","url":null,"abstract":"<div><div>Reconstructing network connections and dynamics simultaneously is essential for understanding complex systems and developing appropriate strategies. Graph neural networks (GNNs) and Transformers are frequently employed to model dynamics. These models depend on MultiLayer Perceptrons (MLPs) with linear weights and predetermined activation functions to integrate information, which somewhat limits their expressive capability. Additionally, the inferred structure may be inaccurate, as the dynamics and correlations within the complex system are interdependent. As a result, its forecasting ability may be limited. To enhance fitting accuracy of both structure and dynamics, we introduce the Kolmogorov–Arnold Networks (KANs) and Gumbel-softmax technique for modeling continuous and discrete dynamics via spline-parameterized univariate functions and explicit network structure, respectively. Experiments conducted on both simulated data and a real dataset demonstrate that two novel approaches, GGNKAN and more efficient GKAN, can effectively capture the complex and nonlinear functions of the nodes and their interactions, outperforming the Gumbel Graph Networks (GGNs), the state-of-the-art method, in terms of interactions recovery and/or prediction error.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116720"},"PeriodicalIF":5.3,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144501518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multihump fundamental solitons in the multi-component Mel’nikov system 多分量梅尔尼科夫系统中的多驼峰基本孤子

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-27 DOI: 10.1016/j.chaos.2025.116602

Yong Meng, Muhammad Hamza Rafiq, Ji Lin

{"title":"Multihump fundamental solitons in the multi-component Mel’nikov system","authors":"Yong Meng, Muhammad Hamza Rafiq, Ji Lin","doi":"10.1016/j.chaos.2025.116602","DOIUrl":"10.1016/j.chaos.2025.116602","url":null,"abstract":"<div><div>In this paper, the multihump fundamental <span><math><mi>N</mi></math></span>-soliton solution for the multi-component Mel’nikov system is derived by combining the Hirota bilinear method with the variable separation approach. In this solution, each short-wave component contains <span><math><mi>N</mi></math></span> arbitrary functions of the variable <span><math><mi>y</mi></math></span>. By assigning different functional forms to these arbitrary functions, various types of multihump soliton solutions, including chaotic, fractal, and folded solitons, can be generated, thereby significantly enhancing the diversity of multihump solitons. Furthermore, the study demonstrates that for the arbitrary functions in the same component of the multihump multi-soliton solution, selecting different functional forms leads to hybrid solutions with solitons of different waveforms, such as dromion-like solitons appearing alongside linear solitons, and curved solitons coexisting with serpentine solitons. This finding provides an effective approach for exploring the interaction dynamics among different types of multihump solitons in nonlinear physics.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116602"},"PeriodicalIF":5.3,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144489561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Vibration mitigation of a cable-stayed beam with positive position feedback control in frequency and time domains 正位置反馈控制斜拉梁的频域和时域减振

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-27 DOI: 10.1016/j.chaos.2025.116692

Jian Peng , Lin Liu , Yaling Wu , Shijun Yan , Hongxin Sun

{"title":"Vibration mitigation of a cable-stayed beam with positive position feedback control in frequency and time domains","authors":"Jian Peng , Lin Liu , Yaling Wu , Shijun Yan , Hongxin Sun","doi":"10.1016/j.chaos.2025.116692","DOIUrl":"10.1016/j.chaos.2025.116692","url":null,"abstract":"<div><div>This study investigates the vibration mitigation of a cable-stayed beam with a Positive Position Feedback (PPF) control strategy based on Macro-Fiber Composites (MFC) actuators. To achieve this, the transfer function was derived from the frequency domain; To delve deeper into the vibration reduction effect, the method of multiple scales is employed to scrutinize the system’s performance in the time domain, and the amplitude–frequency response equation is obtained. Numerical simulations were then carried out to systematically compare the nonlinear dynamic responses of the cable-stayed beam under varying control parameters. The results reveal that vibrations among different modes significantly complicate the system’s nonlinear behavior. Moreover, an increase in control gain was found to effectively reduce response amplitudes, demonstrating the substantial impact of PPF control on vibration suppression. The study further indicates that selecting the appropriate control gains is crucial to achieve optimal control performance. It was observed that internal resonance facilitates energy transfer between modes, whereas PPF control reduces the vibration amplitude of the system, thereby suppressing vibrations. Overall, this research highlights the potential of PPF control in enhancing the performance of cable-stayed beam structures subjected to dynamic loading.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116692"},"PeriodicalIF":5.3,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144489564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The underlying nonlinear dynamics of strong coupling via entangled dark states 通过纠缠暗态强耦合的潜在非线性动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-27 DOI: 10.1016/j.chaos.2025.116789

Muhammad Asif Ahmad Khushaini , Basyirah Zulkifli , Ahmad Ashrif A. Bakar , Tg Hasnan Tg Abdul Aziz , Ahmad Rifqi Md Zain

{"title":"The underlying nonlinear dynamics of strong coupling via entangled dark states","authors":"Muhammad Asif Ahmad Khushaini , Basyirah Zulkifli , Ahmad Ashrif A. Bakar , Tg Hasnan Tg Abdul Aziz , Ahmad Rifqi Md Zain","doi":"10.1016/j.chaos.2025.116789","DOIUrl":"10.1016/j.chaos.2025.116789","url":null,"abstract":"<div><div>The interplay between dark states and strong coupling remains a crucial aspect of quantum light-matter interactions, offering new pathways for harnessing collective quantum phenomena. A key challenge, however, is understanding the fundamental mechanisms that drive strong coupling and its connection to quantum correlations. Here, we show that strong coupling in a plasmonic system emerges from the entanglement of two dark states, one associated with the uncoupled plasmonic mode and the other a low-energy dark state whose precise nature remains undetermined. Our experiments reveal that this interaction produces hybrid light-matter states through sum- and difference-frequency generation, a nonlinear process known to encode quantum correlations. By applying this framework to prior studies, we recover key system parameters with high accuracy, demonstrating the model's broad applicability. These findings suggest a deeper connection between strong coupling and quantum entanglement, providing new insights into nonlinear optics and quantum coherence. By revealing how dark-state interactions shape hybrid polaritonic states, this work advances the understanding of light-matter interactions and offers a potential pathway toward quantum information technologies.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116789"},"PeriodicalIF":5.3,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144489562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamics of adaptive network with connection delay and external stimulus 具有连接延迟和外部刺激的自适应网络动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-27 DOI: 10.1016/j.chaos.2025.116747

S. Thamizharasan , V.K. Chandrasekar , M. Senthilvelan , D.V. Senthilkumar

{"title":"Dynamics of adaptive network with connection delay and external stimulus","authors":"S. Thamizharasan , V.K. Chandrasekar , M. Senthilvelan , D.V. Senthilkumar","doi":"10.1016/j.chaos.2025.116747","DOIUrl":"10.1016/j.chaos.2025.116747","url":null,"abstract":"<div><div>We consider an adaptive network of identical Kuramoto oscillators with connection delay and external stimulus. We show that the adaptive network exhibits a rich variety of dynamical states, including antipodal, solitary, double antipodal, splay, multi-cluster, synchronized and force entrained states in the phase diagrams. In particular, we elucidate the delay induced double antipodal state in the adaptive network in the absence of the phase lag parameter. Further, we observe the solitary state in the globally coupled adaptive network for the first time in the literature. We corroborate the dynamical state and elucidate their dynamical transitions using the Kuramoto order parameters and the strength of incoherences. We also show that the network exhibits a rich variety of multistable states as a function of the system parameters. We also elucidate that the distance dependent delay facilitates the manifestation of similar dynamical states as that of the constant delay. Further, we show that the stability condition for the forced entrained state turns out to be the existence condition for the same, which agrees well with the simulation results.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116747"},"PeriodicalIF":5.3,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144489565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modeling, response and BPNN-PID control of symmetric multistable galloping energy harvesters 对称多稳态振荡能量采集器的建模、响应及BPNN-PID控制

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-26 DOI: 10.1016/j.chaos.2025.116736

Dongmei Huang , Panpan Wang , Wei Li , Ruihong Li , Li Liu

{"title":"Modeling, response and BPNN-PID control of symmetric multistable galloping energy harvesters","authors":"Dongmei Huang , Panpan Wang , Wei Li , Ruihong Li , Li Liu","doi":"10.1016/j.chaos.2025.116736","DOIUrl":"10.1016/j.chaos.2025.116736","url":null,"abstract":"<div><div>In this paper, the modeling and response characteristics of a symmetric multistable galloping energy harvester (GEH) are studied, meanwhile, the controlled performance with the BPNN-PID control method is explored. The improved Lindstedt-Poincaré method is used to derive the relationship between amplitude and frequency, which is then verified through multi-scale analysis. The results indicate that under different excitation amplitudes, the GEH presents nine different solutions, demonstrating four unstable and five stable solutions. The stability analysis reveals the variation of response region and its complexity under different excitation levels. Wind speed and excitation amplitude are optimized to achieve higher output over a wider frequency range. Then, to realize the high-energy output, the PID controller and BPNN-PID controller are designed to guide the trajectories of the GEH from low-energy orbit to high-energy orbit accurately. Compared with the traditional PID control, the BPNN-PID controller demonstrates superior adaptability and robustness by adjusting PID parameters through the online learning ability of the neural network. Although the BPNN-PID controller has certain fluctuations during the initial learning phase, this fluctuation is due to the transition phenomenon in the learning process of the neural network. After the controller is shut down, the GEH can successfully stabilize on the target orbit, which indicates that the network can effectively learn the dynamic characteristics of the GEH, and shows the excellent performance of the controller in long-term stability. The BPNN-PID control not only achieves precise control but also adapts to the nonlinear dynamics of the GEH, making it more suitable for complex and variable operating conditions compared to the traditional PID control.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116736"},"PeriodicalIF":5.3,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144481074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the generalized dimensions of physical measures of chaotic flows 混沌流物理测度的广义维数

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-26 DOI: 10.1016/j.chaos.2025.116678

Théophile Caby , Michele Gianfelice

{"title":"On the generalized dimensions of physical measures of chaotic flows","authors":"Théophile Caby , Michele Gianfelice","doi":"10.1016/j.chaos.2025.116678","DOIUrl":"10.1016/j.chaos.2025.116678","url":null,"abstract":"<div><div>We prove that if <span><math><mi>μ</mi></math></span> is the physical measure of a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> flow in <span><math><mrow><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup><mo>,</mo><mi>d</mi><mo>≥</mo><mn>3</mn><mo>,</mo></mrow></math></span> diffeomorphically conjugated to a suspension flow based on a Poincaré application <span><math><mi>R</mi></math></span> with physical measure <span><math><msub><mrow><mi>μ</mi></mrow><mrow><mi>R</mi></mrow></msub></math></span>, then <span><math><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>q</mi></mrow></msub><mrow><mo>(</mo><mi>μ</mi><mo>)</mo></mrow><mo>=</mo><msub><mrow><mi>D</mi></mrow><mrow><mi>q</mi></mrow></msub><mrow><mo>(</mo><msub><mrow><mi>μ</mi></mrow><mrow><mi>R</mi></mrow></msub><mo>)</mo></mrow><mo>+</mo><mn>1</mn></mrow></math></span>, where <span><math><msub><mrow><mi>D</mi></mrow><mrow><mi>q</mi></mrow></msub></math></span> denotes the generalized dimension of order <span><math><mrow><mi>q</mi><mo>≠</mo><mn>1</mn></mrow></math></span>. The proof is different from those presented in [BSau] and [PS] for uniformly hyperbolic flows, therefore it extends this result also to the case of flows generated by three-dimensional vector fields having a global singular hyperbolic attractor ([AP], [AMe]). We also show that a similar result holds for the local dimensions of <span><math><mi>μ</mi></math></span> and, under the additional hypothesis of exact-dimensionality of <span><math><msub><mrow><mi>μ</mi></mrow><mrow><mi>R</mi></mrow></msub></math></span>, that our result extends to the case <span><math><mrow><mi>q</mi><mo>=</mo><mn>1</mn></mrow></math></span>. We apply these results to estimate the <span><math><msub><mrow><mi>D</mi></mrow><mrow><mi>q</mi></mrow></msub></math></span> spectrum associated with Rössler systems and turn our attention to Lorenz-like flows, proving the existence of their information dimension and giving a lower bound for their generalized dimensions.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116678"},"PeriodicalIF":5.3,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144481076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Enhanced second-order sideband generation and slow–fast light via coupled opto- and magnomechanical microspheres 通过耦合光-磁微球增强二阶边带生成和慢速光

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-26 DOI: 10.1016/j.chaos.2025.116743

Abdul Wahab , Muqaddar Abbas , Xiaosen Yang , Yuee Xie , Yuanping Chen

{"title":"Enhanced second-order sideband generation and slow–fast light via coupled opto- and magnomechanical microspheres","authors":"Abdul Wahab , Muqaddar Abbas , Xiaosen Yang , Yuee Xie , Yuanping Chen","doi":"10.1016/j.chaos.2025.116743","DOIUrl":"10.1016/j.chaos.2025.116743","url":null,"abstract":"<div><div>In this research, we investigate second-order sideband generation (SSG) and slow–fast light switching using a hybrid system comprised of two coupled opto- and magnomechanical microspheres, namely a YIG sphere and a silica sphere. The YIG sphere hosts a magnon mode and a vibration mode induced by magnetostriction, whereas the silica sphere has an optical whispering gallery mode and a mechanical mode coupled via optomechanical interaction. The mechanical modes of both spheres are close in frequency and are coherently coupled by direct physical contact between the microspheres. We use a perturbation approach to solve the Heisenberg–Langevin equations, offering an analytical framework for transmission rate and SSG. We demonstrate that the transmission rate and SSG are strongly dependent on the magnomechanical, optomechanical, and mechanical–mechanical coupling strengths (MMCS) between the two microspheres. The numerical results show that increasing the MMCS can enhance both the transmission rate and SSG efficiency, resulting in a gain within our system. Our findings, in particular, reveal that the efficiency of the SSG can be effectively controlled by cavity detuning, decay rate, and pump power. Notably, our findings suggest that modifying the system parameters can alter the group delay, thereby regulating the transition between fast and slow light propagation, and vice versa. Our protocol provides guidelines for manipulating nonlinear optical properties and controlling light propagation, with applications including optical switching, information storage, and precise measurement of weak signals.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116743"},"PeriodicalIF":5.3,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144481078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Buildup dynamics of the soliton molecules in a self-starting Mamyshev oscillator 自启动马米舍夫振荡器中孤子分子的累积动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-26 DOI: 10.1016/j.chaos.2025.116709

Jingxue Liu, Chaoran Wang, Xingliang Li, Mengmeng Han, Shumin Zhang

引用次数: 0